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Finding the Fourth Proportional to 10,425.25, 14,386.98 and 5,709.43

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Solution

The fourth proportional to 10,425.25, 14,386.98 and 5,709.43 is: 7,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.25 : 14,386.98 = 5,709.43 : x
  2. Step 2: Convert to fraction form
    10,425.25/14,386.98 = 5,709.43/x
  3. Step 3: Cross multiply
    10,425.25x = 14,386.98 × 5,709.43
  4. Step 4: Simplify right side
    10,425.25x = 82,141,455.22
  5. Step 5: Solve for x
    x = 82,141,455.22/10,425.25
  6. Step 6: Final answer
    x = 7,879.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.